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Finding the Fourth Proportional to 64.75, 89.37 and 42.64

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Solution

The fourth proportional to 64.75, 89.37 and 42.64 is: 58.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.75 : 89.37 = 42.64 : x
  2. Step 2: Convert to fraction form
    64.75/89.37 = 42.64/x
  3. Step 3: Cross multiply
    64.75x = 89.37 × 42.64
  4. Step 4: Simplify right side
    64.75x = 3,810.74
  5. Step 5: Solve for x
    x = 3,810.74/64.75
  6. Step 6: Final answer
    x = 58.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.